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Finding the Third Proportional to 72,135 and 96,275.25

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Solution

The third proportional to 72,135 and 96,275.25 is: 128,494.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,135 : 96,275.25 = 96,275.25 : x
  2. Step 2: Convert to fraction form
    72,135/96,275.25 = 96,275.25/x
  3. Step 3: Cross multiply
    72,135x = 96,275.25 × 96,275.25
  4. Step 4: Simplify right side
    72,135x = 9,268,923,762.56
  5. Step 5: Solve for x
    x = 9,268,923,762.56/72,135
  6. Step 6: Final answer
    x = 128,494.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.